{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:1999:DF7HS3ZP6VOW3WV5KYHQXV7FIG","short_pith_number":"pith:DF7HS3ZP","canonical_record":{"source":{"id":"hep-th/9903192","kind":"arxiv","version":3},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"1999-03-22T20:05:33Z","cross_cats_sorted":["gr-qc","math-ph","math.MP"],"title_canon_sha256":"7a9e71b222793ff1930e80d0ce4b40d7d2cc1fb716541cea3832bfab94a37207","abstract_canon_sha256":"51f023c213c1b0b143312f88b923dc233c5dbffa328696e764a6fec1f9c9a517"},"schema_version":"1.0"},"canonical_sha256":"197e796f2ff55d6ddabd560f0bd7e5419cbb3f728f428796b5f1970cd129526a","source":{"kind":"arxiv","id":"hep-th/9903192","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/9903192","created_at":"2026-07-04T16:14:47Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/9903192v3","created_at":"2026-07-04T16:14:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/9903192","created_at":"2026-07-04T16:14:47Z"},{"alias_kind":"pith_short_12","alias_value":"DF7HS3ZP6VOW","created_at":"2026-07-04T16:14:47Z"},{"alias_kind":"pith_short_16","alias_value":"DF7HS3ZP6VOW3WV5","created_at":"2026-07-04T16:14:47Z"},{"alias_kind":"pith_short_8","alias_value":"DF7HS3ZP","created_at":"2026-07-04T16:14:47Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:1999:DF7HS3ZP6VOW3WV5KYHQXV7FIG","target":"record","payload":{"canonical_record":{"source":{"id":"hep-th/9903192","kind":"arxiv","version":3},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"1999-03-22T20:05:33Z","cross_cats_sorted":["gr-qc","math-ph","math.MP"],"title_canon_sha256":"7a9e71b222793ff1930e80d0ce4b40d7d2cc1fb716541cea3832bfab94a37207","abstract_canon_sha256":"51f023c213c1b0b143312f88b923dc233c5dbffa328696e764a6fec1f9c9a517"},"schema_version":"1.0"},"canonical_sha256":"197e796f2ff55d6ddabd560f0bd7e5419cbb3f728f428796b5f1970cd129526a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T16:14:47.579027Z","signature_b64":"nn/hX8boBk4cM+HvJjgMQdf8MqFzKMMRMb2sJAGq/JhER7DcllcEEEYljHlHARxRnBPDiLkoPOfp04Vn/Fi5AQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"197e796f2ff55d6ddabd560f0bd7e5419cbb3f728f428796b5f1970cd129526a","last_reissued_at":"2026-07-04T16:14:47.578643Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T16:14:47.578643Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-th/9903192","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-04T16:14:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2Y3hQEMYozr5eFpci9dXPzDVLGoP8FCitA3JUk/iiEu7tFwboFZSxYiqwaYLek3DeXWeOfcbC/jy8zwl5LtDCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-06T10:30:05.596235Z"},"content_sha256":"5f567dcb870ac1192a4d1a4709182ee31a15555eb995a455520e4078002ca16e","schema_version":"1.0","event_id":"sha256:5f567dcb870ac1192a4d1a4709182ee31a15555eb995a455520e4078002ca16e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:1999:DF7HS3ZP6VOW3WV5KYHQXV7FIG","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Simple Spin Networks as Feynman Graphs","license":"","headline":"","cross_cats":["gr-qc","math-ph","math.MP"],"primary_cat":"hep-th","authors_text":"Kirill Krasnov, Laurent Freidel","submitted_at":"1999-03-22T20:05:33Z","abstract_excerpt":"We show how spin networks can be described and evaluated as Feynman integrals over an internal space. This description can, in particular, be applied to the so-called simple SO(D) spin networks that are of importance for higher-dimensional generalizations of loop quantum gravity. As an illustration of the power of the new formalism, we use it to obtain the asymptotics of an amplitude for the D-simplex and show that its oscillatory part is given by the Regge action."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/9903192","kind":"arxiv","version":3},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/hep-th/9903192/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-04T16:14:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pJlMVi6dZmeJCfAVpPmaNsvZ8Vgca5C3cB0hFDrnLFv5iiJPgxCMDB67/b2EOVaVWFiKAezRcfwl4JZhGOQjBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-06T10:30:05.596974Z"},"content_sha256":"b98de0c96435f0e849698d439dbdbbb52a5eb0aa00bd7e2954405c4e86461eb6","schema_version":"1.0","event_id":"sha256:b98de0c96435f0e849698d439dbdbbb52a5eb0aa00bd7e2954405c4e86461eb6"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/DF7HS3ZP6VOW3WV5KYHQXV7FIG/bundle.json","state_url":"https://pith.science/pith/DF7HS3ZP6VOW3WV5KYHQXV7FIG/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/DF7HS3ZP6VOW3WV5KYHQXV7FIG/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-08-06T10:30:05Z","links":{"resolver":"https://pith.science/pith/DF7HS3ZP6VOW3WV5KYHQXV7FIG","bundle":"https://pith.science/pith/DF7HS3ZP6VOW3WV5KYHQXV7FIG/bundle.json","state":"https://pith.science/pith/DF7HS3ZP6VOW3WV5KYHQXV7FIG/state.json","well_known_bundle":"https://pith.science/.well-known/pith/DF7HS3ZP6VOW3WV5KYHQXV7FIG/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1999:DF7HS3ZP6VOW3WV5KYHQXV7FIG","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"51f023c213c1b0b143312f88b923dc233c5dbffa328696e764a6fec1f9c9a517","cross_cats_sorted":["gr-qc","math-ph","math.MP"],"license":"","primary_cat":"hep-th","submitted_at":"1999-03-22T20:05:33Z","title_canon_sha256":"7a9e71b222793ff1930e80d0ce4b40d7d2cc1fb716541cea3832bfab94a37207"},"schema_version":"1.0","source":{"id":"hep-th/9903192","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/9903192","created_at":"2026-07-04T16:14:47Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/9903192v3","created_at":"2026-07-04T16:14:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/9903192","created_at":"2026-07-04T16:14:47Z"},{"alias_kind":"pith_short_12","alias_value":"DF7HS3ZP6VOW","created_at":"2026-07-04T16:14:47Z"},{"alias_kind":"pith_short_16","alias_value":"DF7HS3ZP6VOW3WV5","created_at":"2026-07-04T16:14:47Z"},{"alias_kind":"pith_short_8","alias_value":"DF7HS3ZP","created_at":"2026-07-04T16:14:47Z"}],"graph_snapshots":[{"event_id":"sha256:b98de0c96435f0e849698d439dbdbbb52a5eb0aa00bd7e2954405c4e86461eb6","target":"graph","created_at":"2026-07-04T16:14:47Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/hep-th/9903192/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We show how spin networks can be described and evaluated as Feynman integrals over an internal space. This description can, in particular, be applied to the so-called simple SO(D) spin networks that are of importance for higher-dimensional generalizations of loop quantum gravity. As an illustration of the power of the new formalism, we use it to obtain the asymptotics of an amplitude for the D-simplex and show that its oscillatory part is given by the Regge action.","authors_text":"Kirill Krasnov, Laurent Freidel","cross_cats":["gr-qc","math-ph","math.MP"],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"1999-03-22T20:05:33Z","title":"Simple Spin Networks as Feynman Graphs"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/9903192","kind":"arxiv","version":3},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:5f567dcb870ac1192a4d1a4709182ee31a15555eb995a455520e4078002ca16e","target":"record","created_at":"2026-07-04T16:14:47Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"51f023c213c1b0b143312f88b923dc233c5dbffa328696e764a6fec1f9c9a517","cross_cats_sorted":["gr-qc","math-ph","math.MP"],"license":"","primary_cat":"hep-th","submitted_at":"1999-03-22T20:05:33Z","title_canon_sha256":"7a9e71b222793ff1930e80d0ce4b40d7d2cc1fb716541cea3832bfab94a37207"},"schema_version":"1.0","source":{"id":"hep-th/9903192","kind":"arxiv","version":3}},"canonical_sha256":"197e796f2ff55d6ddabd560f0bd7e5419cbb3f728f428796b5f1970cd129526a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"197e796f2ff55d6ddabd560f0bd7e5419cbb3f728f428796b5f1970cd129526a","first_computed_at":"2026-07-04T16:14:47.578643Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T16:14:47.578643Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"nn/hX8boBk4cM+HvJjgMQdf8MqFzKMMRMb2sJAGq/JhER7DcllcEEEYljHlHARxRnBPDiLkoPOfp04Vn/Fi5AQ==","signature_status":"signed_v1","signed_at":"2026-07-04T16:14:47.579027Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/9903192","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5f567dcb870ac1192a4d1a4709182ee31a15555eb995a455520e4078002ca16e","sha256:b98de0c96435f0e849698d439dbdbbb52a5eb0aa00bd7e2954405c4e86461eb6"],"state_sha256":"83c18fa70773e73be5fc475f875bd093cb5386569755d185b53978648da29fe1"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3z5kx2cm4kX3id0v2BnNHUyZhVRyti0UbaDa1JPYVcSfjBxliGqyaD/+8cRcXtHht5qOI7JHD0zqvFCDB0DuCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-06T10:30:05.602631Z","bundle_sha256":"67c3622f67a6b4971a0e23d2c5768c334f7adf832415b71eee9534e0b8e20c35"}}